# Exercise 2.9 Solution FSc 2nd Year Math

By | January 23, 2020

Level: F.Sc (Pre-Engg)
Class: 2nd Year
Board: Punjab Textbook Board
Subject: Mathematics
Chapter No.2: Differentiation
Exercise: 2.9
Type: Solution Notes
Pages: 17
PDF Size: 8.24 MB

In this exercise we will read these topics:

• Geometrical meaning of derivative.
• State the geometrical interpretation of derivative.
• Define the tangent line.
• Prove that geometrically derivative of a function gives the slope of a tangent line.
• Discuss the tangent line to the graph of function |x| at x=0.
• Define increasing function.
• Define a decreasing function.
• Define a constant function.
• Define an increasing function in terms of derivatives.
• Define decreasing function in terms of derivatives.
• Define constant function in terms of derivatives.
• Define stationary point.
• Define critical value and critical point.
• Define turning point of a function.
• Define point of inflection.
• Define relative minima of a function.
• Define relative maxima of a function.
• What is the relative extrema of a function.
• Define first derivative test.
• Define second derivative test.
• Procedure to find maxima and minima. 